| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×C22×C6 | 48 | S3xC2^2xC6 | 144,195 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C23⋊(C3×S3) = C6×S4 | φ: C3×S3/C3 → S3 ⊆ Aut C23 | 18 | 3 | C2^3:(C3xS3) | 144,188 |
| C23⋊2(C3×S3) = C2×S3×A4 | φ: C3×S3/S3 → C3 ⊆ Aut C23 | 18 | 6+ | C2^3:2(C3xS3) | 144,190 |
| C23⋊3(C3×S3) = C6×C3⋊D4 | φ: C3×S3/C32 → C2 ⊆ Aut C23 | 24 | C2^3:3(C3xS3) | 144,167 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C23.(C3×S3) = C3×A4⋊C4 | φ: C3×S3/C3 → S3 ⊆ Aut C23 | 36 | 3 | C2^3.(C3xS3) | 144,123 |
| C23.2(C3×S3) = Dic3×A4 | φ: C3×S3/S3 → C3 ⊆ Aut C23 | 36 | 6- | C2^3.2(C3xS3) | 144,129 |
| C23.3(C3×S3) = C3×C6.D4 | φ: C3×S3/C32 → C2 ⊆ Aut C23 | 24 | C2^3.3(C3xS3) | 144,84 | |
| C23.4(C3×S3) = Dic3×C2×C6 | central extension (φ=1) | 48 | C2^3.4(C3xS3) | 144,166 |